Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
346 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 89 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19151616 | C2 | semidirect |
| 3. #19151603 | C2 | semidirect |
| 4. #19151571 | C2 | semidirect |
| 5. #19151368 | C2 | semidirect |
| 6. #19151354 | C2 | semidirect |
| 7. #518×C89 | C2 | semidirect |
| 11. C2×#13083562 | C4 | semidirect |
| 12. C2×#13083559 | C4 | semidirect |
| 29. C2×Dic178 | C2×C4 | semidirect |
| 30. C2×D356 | C2×C4 | semidirect |
| 40. C2×#10623494 | C2×C4 | semidirect |
| 116. C89 | #1904 | semidirect |
| 118. #518 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668038 | 2 |
| #19151616 | 2 |
| #19151603 | 2 |
| #19151571 | 2 |
| #19151368 | 2 |
| #19151354 | 2 |
| #518×C89 | 2 |
| #1904 | 89 |